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13230022102220 = 22571111537450931
BaseRepresentation
bin1100000010000101101011…
…0001001000110011001100
31201211202222222200000200202
43000201122301020303030
53213230041124232340
644045442132313032
72533560165250250
oct300413261106314
951752888600622
1013230022102220
114240903630720
121598097772778
1374c77cb0a901
1433a49d466260
1517e22364dc15
hexc085ac48ccc

13230022102220 has 96 divisors (see below), whose sum is σ = 34668650128896. Its totient is φ = 4120066252800.

The previous prime is 13230022102211. The next prime is 13230022102229. The reversal of 13230022102220 is 2220122003231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13230022102211) and next prime (13230022102229).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13230022102192 and 13230022102201.

It is not an unprimeable number, because it can be changed into a prime (13230022102229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1949846 + ... + 5501085.

It is an arithmetic number, because the mean of its divisors is an integer number (361131772176).

Almost surely, 213230022102220 is an apocalyptic number.

13230022102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13230022102220 is an abundant number, since it is smaller than the sum of its proper divisors (21438628026676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13230022102220 is a wasteful number, since it uses less digits than its factorization.

13230022102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452111 (or 7452109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13230022102220 its reverse (2220122003231), we get a palindrome (15450144105451).

The spelling of 13230022102220 in words is "thirteen trillion, two hundred thirty billion, twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1153 1540 2306 4612 5765 8071 11530 12683 16142 23060 25366 32284 40355 50732 63415 80710 88781 126830 161420 177562 253660 355124 443905 887810 1775620 7450931 14901862 29803724 37254655 52156517 74509310 81960241 104313034 149018620 163920482 208626068 260782585 327840964 409801205 521565170 573721687 819602410 1043130340 1147443374 1639204820 2294886748 2868608435 5737216870 8590923443 11474433740 17181846886 34363693772 42954617215 60136464101 85909234430 94500157873 120272928202 171818468860 189000315746 240545856404 300682320505 378000631492 472500789365 601364641010 661501105111 945001578730 1202729282020 1323002210222 1890003157460 2646004420444 3307505525555 6615011051110 13230022102220